Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of a Quadrilateral I
Suppose ABCD is a quadrilateral for which there is exactly one rotation, through an angle larger than 0 degrees and less than 360 degrees, which maps it to itself. Further, no reflections map ABCD to itself. What shape is ABCD? Aligns...
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of a Quadrilateral Ii
There is exactly one reflection and no rotation that sends the convex quadrilateral ABCD onto itself. What shape(s) could quadrilateral ABCD be? Explain. Aligns with G-CO.A.3.
Illustrative Mathematics
Illustrative Mathematics: G Co Symmetries of Rectangles
This task examines the rigid motions which map a rectangle onto itself. The emphasis here is on careful reasoning using the definitions of reflections and rotations. Aligns with G-CO.A.3.
Science Education Resource Center at Carleton College
Serc: Merlot Mathematics Portal: Symmetry and Tilings: An Exploration
A geometry lesson where learners read about tilings and tessellations, answer some questions, then explore them using an online interactive. Afterwards, they share and apply their learning in discussion and by examining other tilings.
Alabama Learning Exchange
Alex: Who's Line Is It Anyway?
In this lesson plan students will learn about line of symmetry in real life objects. An interactive web lesson plan is used to engage students and give a multitude of real life examples with some interactive practice. The lesson plan...
Shodor Education Foundation
Shodor Interactivate: Lesson: Visual Patterns in Tessellations
This upper elementary and middle school lesson plan examines the mathematical nature of art, tilings and tessellations. Students will also explore polygons, symmetry, analyze patterns and explore the role of mathematics in nature and our...
Savvas Learning
Hmong Embroidery Connections to Mathematics
This short activity uses the art of Hmong "flower cloth" (paj ntaub) to help learners learn about symmetry. Includes two suggested children's books you can use to learn more about Hmong culture.
PBS
Pbs Learning Media: Math + Arts: Geometry in Dance
In this lesson, students observe symmetry, geometric shapes, and angles in two Early American dances, and then choreograph their own dance with symmetrical figures. Media and teaching materials are included.
National Council of Teachers of Mathematics
The Math Forum: Multicultural Math Fair: Sonya's Symmetry
Straightforward lesson designed to introduce learners to symmetry and reflection using MIRA mirrors. Includes two worksheets--instructions and activities are available in English and Spanish.
Illustrative Mathematics
Illustrative Mathematics: 4.g Lines of Symmetry for Quadrilaterals
This task provides learners a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. Aligns with 4.G.A.3.
University of Texas
Inside Mathematics: Symmetical Patterns [Pdf]
This task challenges a student to demonstrate understanding on the concept of symmetry.
Science and Mathematics Initiative for Learning Enhancement (SMILE)
Smile: Using Symmetry to Create a Community Quilt
This site provides a hands-on lesson plan to make a quilt using symmetry.
Illustrative Mathematics
Illustrative Mathematics: G Co Seven Circles Ii
In this task, seven pennies are placed in a circle so that they are all touching one in the center and their neighbors. Students are asked to find as many rigid motions of the plane as they can which are symmetries of this configuration...
Alabama Learning Exchange
Alex: Origami Geometry
Origami (ori-folding, kami-paper) is the traditional Japanese art of folding paper. Students will discover relationships between shapes as they are actively engaged in this hands on geometry lesson to learn basic geometric shapes, their...
Arizona State University
Arizona State University: Symmetrical Design
Here, at this site from the Arizona State University, is a simple lesson plan for math or art teachers in the primary grades. Students create their own symmetrical design based on Pennsylvania barn signs. Also has a link to a site with...
National Council of Teachers of Mathematics
The Math Forum: Building Shapes
Based on building a hexagon, this activity from the Math Forum collection focuses on using different combinations of pattern blocks to create a hexagon. An online activity, pencil and paper method, literature connections, and a...
National Council of Teachers of Mathematics
The Math Forum: Multicultural Math Fair: Navajo Burntwater Designs
Simple lesson designed to help young scholars learn the geometric concepts of translation, reflection, and symmetry by creating Navajo weaving patterns. Includes templates and instructions and is available in English and Spanish....
Smithsonian Institution
Smithsonian Learning Lab: Turn About's Fair Play! Mirrors and How They Reflect
Teachers can download this teaching package that looks at light and symmetry through the use of mirrors. Students will enjoy the nine mirror challenges, along with the hands-on activities described in the lessons. Teachers will...
Science Education Resource Center at Carleton College
Serc: Investigating Precipitation: Snow
In this chemistry field/class based activity, students investigate snow and, more specifically, why snowflakes have six sides. Students will individually fossilize a snowflake and observe similarities and differences with other members...
Texas Instruments
Texas Instruments: Transformations, Rotations, Dilations 1
This StudyCards stack tests students' understanding of translation, transformation, symmetry, dilation, and rotation of a point to form images. Teachers require TI StudyCards Creator Software and students will need the StudyCardApp on...
Illustrative Mathematics
Illustrative Mathematics: g.co Reflections and Isosceles Triangles
This task has learners link their intuitive notions of symmetries of a triangle with statements proving that said triangle is unmoved by applying certain rigid transformations. The mechanism through which students do this is via...
Illustrative Mathematics
Illustrative Mathematics: G Co Reflections and Equilateral Triangles
Given an equilateral triangle, students are asked to explore its symmetries using rigid transformations of the plane. Aligns with G-CO.B.
Science Buddies
Science Buddies: Tiling With Spidrons
If art and math are both passions of yours, this project is meant for you! Spidrons are geometric forms made from alternating sequences of equilateral and isosceles (30 degrees, 30 degrees, 120 degrees) triangles. Spidrons were...
University of Texas
Inside Mathematics: Fair Play [Pdf]
This task challenges a student to demonstrate understanding of the concept of measurement.
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